Pith Number

pith:ITKIYDYG

pith:2011:ITKIYDYGDPU3JRHDXIO62X2ZDQ

not attested not anchored not stored refs pending

Coset Diagram for the Action of Picard Group on Q(i,\surd3)

Qaiser Mushtaq, Saima Anis

arxiv:1111.3778 v2 · 2011-11-16 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITKIYDYGDPU3JRHDXIO62X2ZDQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:08:12.186957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44d48c0f061be9b4c4e3ba1ded5f591c3430c6c70f43abd6076f21c215ca1d44

Aliases

arxiv: 1111.3778 · arxiv_version: 1111.3778v2 · doi: 10.48550/arxiv.1111.3778 · pith_short_12: ITKIYDYGDPU3 · pith_short_16: ITKIYDYGDPU3JRHD · pith_short_8: ITKIYDYG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ITKIYDYGDPU3JRHDXIO62X2ZDQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 44d48c0f061be9b4c4e3ba1ded5f591c3430c6c70f43abd6076f21c215ca1d44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90c8d90195719ceb46a9c2f46b7a48523f8bc75a6fe2c8dda33aebf46a0d968e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-16T12:17:49Z",
    "title_canon_sha256": "b5132460329dd4ce64af9d8a02419dae53a716a1b1c5878202e9c5d7727c7fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3778",
    "kind": "arxiv",
    "version": 2
  }
}